Find the LCM of 221, 962, 783, 925, 220 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 221, 962, 783, 925, 220. So, keep reading to learn more.
Given numbers are 221,962,783,925,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,962,783,925,220 is 7042850100.
Find LCM of 221,962,783,925,220 with Prime Factorization
2 | 221, 962, 783, 925, 220 |
5 | 221, 481, 783, 925, 110 |
13 | 221, 481, 783, 185, 22 |
37 | 17, 37, 783, 185, 22 |
17, 1, 783, 5, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 37 x 17 x 1 x 783 x 5 x 22 = 7042850100
Therefore, the lowest common multiple of 221,962,783,925,220 is 7042850100.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
221 x 962 x 783 x 925 x 220 = 33876108981000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
221 : 1, 13, 17, 221
962 : 1, 2, 13, 26, 37, 74, 481, 962
783 : 1, 3, 9, 27, 29, 87, 261, 783
925 : 1, 5, 25, 37, 185, 925
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,962,783,925,220, is 1.
Now, the common factors can be found like this.
221:13x 17
962:2x 13x 37
783:3x 3x 3x 29
925:5x 5x 37
220:2x 2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 37 = 4810
Therefore, the value for common factors is 4810.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 33876108981000/(1x4810)
LCM = 33876108981000/4810
LCM = 7042850100
Thus, we can understand that the LCM of 221,962,783,925,220 is 7042850100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 221, 962, 783, 925, 220?
Answer: LCM of 221, 962, 783, 925, 220 is 7042850100.
2. How to calculate the LCM of 221, 962, 783, 925, 220?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 221, 962, 783, 925, 220.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.